Class 11

Math

JEE Main Questions

Permutations and Combinations

Computer (i) $5!7! $ (ii) $(10!)(2!)12! $

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible ?

If the number of selections of 6 different letters that can be made from the words SUMAN and DIVYA so that each selection contains 3 letters from each word is $N_{2},$ then the value of $N$ is________.

From a class of 25 students, 10 are to be chosen for an excursion party. There are 3 students who decide that either all of them will join or none of them will join. In how many ways can the excursion party be chosen?

The number of different ways in which five "alike dashes" and "eight alike" dots can be arranged using only seven of these "dashes" and "dots" is a. $350$ b. $120$ c. $1287$ d. none of these

How many 4-digit numbers can be formed by using the digits 1 to 9 if repetition of digits is not allowed?

Is $3!+4!=7!$?

Find the total number of nine-digit numbers that can be formed using the digits 2, 2, 3, 3, 5, 5, 8, 8, 8 so that the odd digit occupy the even places.

In how many ways can the letters of the word PERMUTATIONS be arranged if the(i) words start with P and end with S, (ii) vowels are all together,(iii) there are always 4 letters between P and S?